MATH101-24S2 (C) Semester Two 2024

Methods of Mathematics

15 points

Details:
Start Date: Monday, 15 July 2024
End Date: Sunday, 10 November 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 28 July 2024
  • Without academic penalty (including no fee refund): Sunday, 29 September 2024

Description

Introduction to calculus, trigonometry and algebra. Emphasis on setting up mathematical models of problems, solving them and interpreting the solutions. Applications to the physical, life and earth sciences as well as to commerce and the humanities.

MATH101 covers the basic ideas of functions and their graphs, trigonometry, limits, and calculus. We introduce the concept of a mathematical model and discuss setting up mathematical models to solve problems. Examples are drawn from the physical, life and earth sciences as well as commerce and the humanities. Skills are practised in lectures, weekly tutorial sessions, and using online learning software.

Emphasis is placed on understanding through examples, and you will use the methods taught to study a variety of practical problems. In the process your algebra and calculus skills will improve, and you will gain insight into the usefulness of these techniques. The course aims to build your confidence and foster your enjoyment of mathematics.

MATH101 is for students who need some knowledge of mathematics to support other studies such as the earth and life sciences, and for students who wish to prepare for EMTH118 or MATH102. The recommended background for this course is NCEA Level 2 Mathematics or equivalent.

Learning Outcomes

  • A student who successfully completes this course will:

  • understand the rules of exponents
  • be able to use basic algebra to simplify expressions and rearrange equations
  • be able to solve both linear and non-linear equations
  • understand the concept of a function, and recognise and use function notation and operations
  • be able to identify, graph and interpret polynomial, exponential, logarithmic and trigonometric relationships in both mathematical and real world contexts using appropriate applications
  • be able to find the derivative and integral of polynomial, exponential, logarithmic, and trigonometric functions, including the use of product, quotient and chain rules
  • understand the relationship between the processes of integration and differentiation
  • be able to identify when a derivative is an appropriate mathematical model, and use it to solve optimisation problems
  • be able to identify when an integral is an appropriate mathematical model, and to use it to solve appropriate real world problems
  • have the ability to express mathematics in written form to communicate mathematical ideas and solutions to problems

Restrictions

Students who have been credited with any of EMTH118, EMTH119, MATH102 or MATH103, cannot subsequently be credited with MATH101.

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 16:00 - 17:00 C2 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 A3 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 09:00 - 10:00 A2 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture D
Activity Day Time Location Weeks
01 Thursday 14:00 - 15:00 A2 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
03 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
04 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
05 Wednesday 14:00 - 16:00 Jack Erskine 035 Lab 2
15 Jul - 25 Aug
9 Sep - 20 Oct
06 Thursday 09:00 - 11:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
07 Wednesday 12:00 - 14:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
08 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4
15 Jul - 25 Aug
9 Sep - 20 Oct
Workshop A
Activity Day Time Location Weeks
01 Wednesday 11:00 - 12:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Thursday 11:00 - 12:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
03 Tuesday 14:00 - 15:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
04 Tuesday 10:00 - 11:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
05 Friday 09:00 - 10:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
06 Wednesday 10:00 - 11:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
07 Tuesday 15:00 - 16:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
08 Monday 11:00 - 12:00 Jane Soons 608
15 Jul - 25 Aug
9 Sep - 20 Oct
09 Wednesday 16:00 - 17:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
10 Tuesday 16:00 - 17:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
11 Tuesday 11:00 - 12:00 Jane Soons 603
15 Jul - 25 Aug
9 Sep - 20 Oct
Workshop B
Activity Day Time Location Weeks
01 Monday 09:00 - 10:00 Jack Erskine 445
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Wednesday 12:00 - 13:00 Jack Erskine 101
15 Jul - 25 Aug
9 Sep - 20 Oct

Examinations, Quizzes and Formal Tests

Test A
Activity Day Time Location Weeks
01 Tuesday 19:00 - 20:30 A1 Lecture Theatre
12 Aug - 18 Aug

Course Coordinator

Rosie Cameron

Lecturers

Clemency Montelle and Hilary Seddon

Textbooks / Resources

Recommended Reading

Barton & Cox; Essential Maths and Stats for Higher Education ; Pearson, 2013.

Croft & Davison; Foundation Maths ; Any edition; Prentice-Hall.

Haeussler, Paul, and Wood; Introductory Mathematical Analysis ; Pearson, 2013.

NCEA Level 2 and 3 textbooks are also a useful reference.

Indicative Fees

Domestic fee $847.00

International fee $4,988.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH101 Occurrences

  • MATH101-24S1 (C) Semester One 2024
  • MATH101-24S2 (C) Semester Two 2024
  • MATH101-24W (C) Whole Year 2024 - Not Offered due to staff availability